408199713600 has 504 divisors, whose sum is σ = 1562461127040. Its totient is φ = 93028884480.

The previous prime is 408199713599. The next prime is 408199713619. The reversal of 408199713600 is 6317991804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 408199713600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86316036 + ... + 86320764.

Almost surely, 2^408199713600 is an apocalyptic number.

408199713600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408199713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781230563520).

408199713600 is an abundant number, since it is smaller than the sum of its proper divisors (1154261413440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408199713600 is a wasteful number, since it uses less digits than its factorization.

408199713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 408199713600 in words is "four hundred eight billion, one hundred ninety-nine million, seven hundred thirteen thousand, six hundred".